前两题通分,后一题计算,最后一题化简
1个回答

a(x-y)分之x,b(y-x)分之y

公分母ab(x-y)

所以x/a(x-y)=bx/ab(x-y)

y/b(y-x)=-ay/ab(x-y)

(2-x)的平方分之1,(x+2)(x-2)分之x

(2-x)²=(x-2)²

所以公分母(x-2)²(x+2)

所以1/(2-x)²=(x+2)/(x-2)²(x+2)

x/(x+2)(x-2)=(x²-2x)/(x-2)²(x+2)

计算:(x的平方-4x+3分之x的平方-4)的平方乘(x的平方+3x+2分之x-3)除以(-x的平方-1分之x-2)

=[(x+2)(x-2)/(x-1)(x-3)]²*[(x-3)/(x+1)(x+2)]*(-x²-1)/(x-2)

=(-x²-1)(x+2)²(x-2)²(x-3)/[(x-1)²(x-3)²(x+1)(x+2)(x-2)]

=(-x²-1)(x+2)(x-2)/[(x-1)²(x-3)(x+1)]

化简a+2分之a的平方-4除以(a-2)乘以a-2分之1

=[(a+2)(a-2)/(a+2)]÷(a-2)*1/(a-2)

=(a-2)/(a-2)²

=1/(a-2)